Periodic Solutions of a Nonlinear Wave Equation Without Assumption of Monotonicity.
Periodic solutions of a piecewise linear beam equation damping and nonconstant load.
Periodic solutions of a three-species periodic reaction-diffusion system
We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.
Periodic solutions of a weakly nonlinear hyperbolic equation in and
Periodic solutions of a weakly nonlinear wave equation
Periodic solutions of a weakly nonlinear wave equation in one dimension
Periodic solutions of abstract and partial differential equations with deviation
Periodic solutions of abstract differential equations: the Fourier method
Periodic solutions of asymptotically linear systems without symmetry
Periodic solutions of degenerate differential equations in vector-valued function spaces
Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces.
Periodic solutions of evolution -Laplacian equations with a nonlinear convection term.
Periodic solutions of evolution problem associated with moving convex sets
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this...
Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term
Periodic solutions of nonlinear boundary value problems of the second kind
Periodic solutions of nonlinear Schrödinger equations
Periodic solutions of nonlinear vibrating beams.
Periodic solutions of nonlinear wave equations with non-monotone forcing terms
Existence and regularity of periodic solutions of nonlinear, completely resonant, forced wave equations is proved for a large class of non-monotone forcing terms. Our approach is based on a variational Lyapunov-Schmidt reduction. The corresponding infinite dimensional bifurcation equation exhibits an intrinsic lack of compactness. This difficulty is overcome finding a-priori estimates for the constrained minimizers of the reduced action functional, through techniques inspired by regularity theory...
Periodic solutions of -Laplacian systems with a nonlinear convection term.
Periodic solutions of partial differential equations with hysteresis
Periodic solutions of quasilinear equations with discontinuous perturbations.